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Sagot :
Let's break down the problem step-by-step to determine the overall gain or loss for the stockholder.
### Prices and Shares
- Zycodec (ZYO) Stock:
- Lowest price of the year: \[tex]$29.39 - Closing price: \$[/tex]34.95
- Shares purchased: 40
- Unix Co (UNX) Stock:
- Highest price of the year: \[tex]$16.12 - Closing price: \$[/tex]15.78
- Shares purchased: 95
### Zycodec Calculations
1. Purchase Cost for Zycodec:
[tex]\[ \text{Purchase Cost} = \text{Number of Shares} \times \text{Lowest Price} \][/tex]
[tex]\[ \text{Purchase Cost} = 40 \times 29.39 = \$1175.60 \][/tex]
2. Sale Income for Zycodec:
[tex]\[ \text{Sale Income} = \text{Number of Shares} \times \text{Closing Price} \][/tex]
[tex]\[ \text{Sale Income} = 40 \times 34.95 = \$1398.00 \][/tex]
### Unix Calculations
3. Purchase Cost for Unix:
[tex]\[ \text{Purchase Cost} = \text{Number of Shares} \times \text{Highest Price} \][/tex]
[tex]\[ \text{Purchase Cost} = 95 \times 16.12 = \$1531.40 \][/tex]
4. Sale Income for Unix:
[tex]\[ \text{Sale Income} = \text{Number of Shares} \times \text{Closing Price} \][/tex]
[tex]\[ \text{Sale Income} = 95 \times 15.78 = \$1499.10 \][/tex]
### Overall Gain or Loss
5. Total Purchase Cost:
[tex]\[ \text{Total Purchase Cost} = \text{Zycodec Purchase Cost} + \text{Unix Purchase Cost} \][/tex]
[tex]\[ \text{Total Purchase Cost} = 1175.60 + 1531.40 = \$2707.00 \][/tex]
6. Total Sale Income:
[tex]\[ \text{Total Sale Income} = \text{Zycodec Sale Income} + \text{Unix Sale Income} \][/tex]
[tex]\[ \text{Total Sale Income} = 1398.00 + 1499.10 = \$2897.10 \][/tex]
7. Overall Gain or Loss:
[tex]\[ \text{Overall Gain or Loss} = \text{Total Sale Income} - \text{Total Purchase Cost} \][/tex]
[tex]\[ \text{Overall Gain or Loss} = 2897.10 - 2707.00 = \$190.10 \][/tex]
Since the result is positive, the stockholder made an overall gain.
### Conclusion
The overall gain is \[tex]$190.10. So, none of the given options (\$[/tex]604.30 nor \[tex]$660.35) match the calculated result. Thus, the closest correct selection isn't provided but the correct overall gain is $[/tex]\[tex]$190.10$[/tex].
### Prices and Shares
- Zycodec (ZYO) Stock:
- Lowest price of the year: \[tex]$29.39 - Closing price: \$[/tex]34.95
- Shares purchased: 40
- Unix Co (UNX) Stock:
- Highest price of the year: \[tex]$16.12 - Closing price: \$[/tex]15.78
- Shares purchased: 95
### Zycodec Calculations
1. Purchase Cost for Zycodec:
[tex]\[ \text{Purchase Cost} = \text{Number of Shares} \times \text{Lowest Price} \][/tex]
[tex]\[ \text{Purchase Cost} = 40 \times 29.39 = \$1175.60 \][/tex]
2. Sale Income for Zycodec:
[tex]\[ \text{Sale Income} = \text{Number of Shares} \times \text{Closing Price} \][/tex]
[tex]\[ \text{Sale Income} = 40 \times 34.95 = \$1398.00 \][/tex]
### Unix Calculations
3. Purchase Cost for Unix:
[tex]\[ \text{Purchase Cost} = \text{Number of Shares} \times \text{Highest Price} \][/tex]
[tex]\[ \text{Purchase Cost} = 95 \times 16.12 = \$1531.40 \][/tex]
4. Sale Income for Unix:
[tex]\[ \text{Sale Income} = \text{Number of Shares} \times \text{Closing Price} \][/tex]
[tex]\[ \text{Sale Income} = 95 \times 15.78 = \$1499.10 \][/tex]
### Overall Gain or Loss
5. Total Purchase Cost:
[tex]\[ \text{Total Purchase Cost} = \text{Zycodec Purchase Cost} + \text{Unix Purchase Cost} \][/tex]
[tex]\[ \text{Total Purchase Cost} = 1175.60 + 1531.40 = \$2707.00 \][/tex]
6. Total Sale Income:
[tex]\[ \text{Total Sale Income} = \text{Zycodec Sale Income} + \text{Unix Sale Income} \][/tex]
[tex]\[ \text{Total Sale Income} = 1398.00 + 1499.10 = \$2897.10 \][/tex]
7. Overall Gain or Loss:
[tex]\[ \text{Overall Gain or Loss} = \text{Total Sale Income} - \text{Total Purchase Cost} \][/tex]
[tex]\[ \text{Overall Gain or Loss} = 2897.10 - 2707.00 = \$190.10 \][/tex]
Since the result is positive, the stockholder made an overall gain.
### Conclusion
The overall gain is \[tex]$190.10. So, none of the given options (\$[/tex]604.30 nor \[tex]$660.35) match the calculated result. Thus, the closest correct selection isn't provided but the correct overall gain is $[/tex]\[tex]$190.10$[/tex].
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